Answer:
Statements Reasons
1. 2x + 11 = 15 1. Given
2. 2x = 4 2. Subtraction Property of Equality
3. X = 2 3. Division Property of Equality
Step-by-step explanation:
An equation can be solved and its solution proven using algebraic theorems and properties. To create a proof, form two columns. Label one side Statements and the other Reasons.
Begin your proof listing the any information given to you. List as the reason - Given.
Then list the next step which here would be to subtract by 11 on both side. The reason is Subtraction Property of Equality. Subtraction is the inverse of addition. Inverse axiom is another acceptable reason.
Then divide both sides by 2. The reason is Division Property of Equality or Inverse axiom once again. See the proof below.
Statements Reasons
1. 2x + 11 = 15 1. Given
2. 2x = 4 2. Subtraction Property of Equality
3. X = 2 3. Division Property of Equality
It is not true because if you add in 0 the equation would be 8-4(0)=4(0)
4x0 = 0
so it would be 8-0=0 which doesn't add up.
Answer: the equations are
k = d + 33
k - 2 = 4(d-2)
Step-by-step explanation:
Let the present age of Kevin be represented by k
Let the present age of Daniel be represented by d
Kevin is 33 years older than Daniel. This means that the expression for their current age is
k = d + 33
Two years ago, Kevin was 4 times as old as Daniel. This means that 2 will be subtracted from their present ages to depict two years ago. Therefore, Two years ago for Daniel will be d-2
Two years ago for Kevin will be k - 2
Remember that Kevin was 4 times as old as Daniel two years ago, it becomes
k - 2 = 4(d-2)
Answer:
-5/6= -0.8333
And
8/3=2.67
On the number line they will be
